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This study addresses ductile fracture of single grains in metals by modeling of the formation and propagation of transgranular cracks. A proposed model integrates gradient extended hardening, phase-field modeling for fracture, and crystal…

Numerical Analysis · Mathematics 2024-11-01 Kim Louisa Auth , Jim Brouzoulis , Magnus Ekh

The relation between fracture surface morphology and the three-dimensional structure of crack fronts is investigated through direct observation of brittle cracks in gels. A key notion in this investigation is the discontinuity of the crack…

Soft Condensed Matter · Physics 2009-10-31 Yoshimi Tanaka , Koji Fukao , Yoshihisa Miyamoto , Ken Sekimoto

A model describing the three-dimensional folding of the triangular lattice on the face-centered cubic lattice is generalized allowing the presence of defects corresponding to cuts in the two-dimensional network. The model can be expressed…

Statistical Mechanics · Physics 2012-05-25 Emilio N. M. Cirillo , Alessandro Pelizzola , Giuseppe Gonnella

Griffith's energetic criterion, or `energy balance', has for a century formed the basis for fracture mechanics; the energy flowing into a crack front is precisely balanced by the dissipation (fracture energy) at the front. If the crack…

Soft Condensed Matter · Physics 2022-02-09 Meng Wang , Mokhtar Adda-Bedia , John M. Kolinski , Jay Fineberg

As inkjet technology develops to produce smaller droplets, substrate features such as accidental scratches or manufacturing defects can potentially affect the outcome of printing, particularly for printed electronics where continuous tracks…

Fluid Dynamics · Physics 2021-09-15 Khaled H. A. Al-Ghaithi , Oliver G. Harlen , Nikil Kapur , Mark C. T. Wilson

A diffuse-interface model for microstructure with an arbitrary number of components and phases was developed from basic thermodynamic and kinetic principles and formalized within a variational framework. The model includes a composition…

Materials Science · Physics 2011-07-28 Daniel A. Cogswell , W. Craig Carter

We introduce a class of models based on near crack tip degradation of materials that can account for fracture growth under cyclic loads below the Griffith threshold. We incorporate the gradual degradation due to a cyclic load through a flow…

Materials Science · Physics 2019-06-26 Ataollah Mesgarnejad , Anahita Imanian , Alain Karma

The description of surface-diffusion controlled dynamics via the phase-field method is less trivial than it appears at first sight. A seemingly straightforward approach from the literature is shown to fail to produce the correct…

Computational Physics · Physics 2017-03-13 Clemens Mueller-Gugenberger , Robert Spatschek , Klaus Kassner

Cracks develop various surface patterns as they propagate in three-dimensional (3D) materials. Facet formation in nominally tensile (mode-I) fracture emerge in the slow, non-inertial regime and oftentimes takes the form of surface steps. We…

Materials Science · Physics 2024-03-27 Yuri Lubomirsky , Eran Bouchbinder

Crack-tip fields within a transversely isotropic strain-limiting elastic body are investigated under the influence of piecewise linear slope boundary loads. The mechanical response is characterized via a nonlinear constitutive framework…

General Mathematics · Mathematics 2026-04-30 S. M. Mallikarjunaiah , Saugata Ghosh , Dambaru Bhatta

Due to their microstructure, quasi brittle materials present rough cracks. Under sliding of the crack lips, this roughness involves in one hand induced opening and in the other hand some apparent plasticity which is due to the interlocking…

Classical Physics · Physics 2009-11-30 Marc Louis Maurice François

The onset of frictional motion at the interface between two distinct bodies in contact is characterized by the propagation of dynamic rupture fronts. We combine friction experiments and numerical simulations to study the properties of these…

Geophysics · Physics 2020-02-03 Ilya Svetlizky , Gabriele Albertini , Gil Cohen , David S. Kammer , Jay Fineberg

We analyse a problem of anti-plane shear in a bi-material plane containing a semi-infinite crack situated on a soft imperfect interface. The plane also contains a small thin inclusion (for instance an ellipse with high eccentricity) whose…

Mathematical Physics · Physics 2013-08-21 A. Vellender , G. Mishuris , A. Piccolroaz

The crack phase field model has been well established and validated for a variety of complex crack propagation patterns within a homogeneous medium under either tensile or shear loading. However, relatively less attention has been paid to…

Materials Science · Physics 2018-09-14 Heeyeong Jeong , Stefano Signetti , Tong-Seok Han , Seunghwa Ryu

We present a model for the thermally activated propagation of cracks in elastic matrices. The propagation is considered as a subcritical phenomenon, the kinetics of which being described by an Arrhenius law. In this law, we take the thermal…

We consider the quasi-static evolution of a brittle layer on a stiff substrate; adhesion between layers is assumed to be elastic. Employing a phase-field approach we obtain the quasi-static evolution as the limit of time-discrete evolutions…

Analysis of PDEs · Mathematics 2019-10-28 Matteo Negri

A phase field model for fluid-driven dynamic crack propagation in poroelastic media is proposed. Therefore, classical Biot poroelasticity theory is applied in the porous medium while arbitrary crack growth is naturally captured by the phase…

Numerical Analysis · Mathematics 2023-09-07 Shuwei Zhou , Xiaoying Zhuang , Timon Rabczuk

Dense particulate suspensions can not only increase their viscosity and shear thicken under external forcing, but also jam into a solid-like state that is fully reversible when the force is removed. An impact on the surface of a dense…

Soft Condensed Matter · Physics 2019-05-10 Endao Han , Liang Zhao , Nigel Van Ha , S. Tonia Hsieh , Daniel B. Szyld , Heinrich M. Jaeger

We study the relation between a threshold-force based model at the microscopic scale and mode I fracture at the macroscopic scale in a system of discrete interacting springs. Specifically, we idealize the contact between two surfaces as…

Soft Condensed Matter · Physics 2016-06-13 Srivatsan Hulikal , Kaushik Bhattacharya , Nadia Lapusta

The dynamic initiation of sliding at planar interfaces between deformable and rigid solids is studied with particular focus on the speed of the slip front. Recent experimental results showed a close relation between this speed and the local…

Classical Physics · Physics 2012-11-22 David S. Kammer , Vladislav A. Yastrebov , Peter Spijker , Jean-François Molinari